Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad (SOF) Class 10): Questions 52  56 of 82
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Question number: 52
» Pair of Linear Equations in Two Variables
Question
For how many values of k does the following system of equations have at least one solution?
Choices
Choice (4)  Response  

a.  2 

b.  0 

c.  1 

d.  Infinitely many 

Question number: 53
» Pair of Linear Equations in Two Variables
Question
Places and are 400 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 10 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 54
» Pair of Linear Equations in Two Variables
Question
The number of values of k for which the system of equations has atleast one solution is ________
Choices
Choice (4)  Response  

a.  3 

b.  0 

c.  1 

d.  2 

Question number: 55
» Pair of Linear Equations in Two Variables
Question
A boat goes 40 km upstream and 55 km downstream in 20 hours. In 23 hours, it can go 50 km upstream and 66 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Pair of Linear Equations in Two Variables
Question
The sum of a two digit number and the number obtained by interchanging the digits of the number is 88. If the digits of the number differ by 6, then numbers are ________
Choices
Choice (4)  Response  

a.  65, 56 

b.  71, 17 

c.  43, 34 

d.  41, 14 
